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AlekseyPX
4 years ago
13

Solve the simultaneous equations 3x+y=8 X-3Y=11

Mathematics
2 answers:
vlabodo [156]4 years ago
6 0

Answer:

Step-by-step explanation:

let's organize our information :

  • 3x+y=8
  • x-3y=11

The trick here is to multiply x-3y=11 by -3 then add it to 3x+y=8 to get rid of x and get a normal equation

we get : -3x+9y= (-33)

then after the addition : 3x+y-3x+9y=8-33⇔ 10y=(-25)

   so y=(-25)/10= -5/2

  • let's replace y by -5/2 in 3x+y=8
  • 3x-5/2 =8⇔ x= 21/6

so y= (-5/2) and x= 21/6

                                         

Gala2k [10]4 years ago
3 0

Answer:

(7/2, -5/2)

Step-by-step explanation:

We can solve this multiple ways: Algebraically (Substitution or Elimination) or Graphically

Step 1: Write 1st equation in terms of <em>y</em>

y = 8 - 3x

Step 2: Substitute <em>y</em> of 2nd equation

x - 3(8 - 3x) = 11

Step 3: Solve for <em>x</em>

x - 24 + 9x = 11

10x - 24 = 11

10x = 35

x = 7/2

Step 4: Plug <em>x</em> to find <em>y</em>

3(7/2) + y = 8

21/2 + y = 8

y = -5/2

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